5 research outputs found
Lindblad master equation approach to superconductivity in open quantum systems
We consider an open quantum Fermi-system which consists of a single
degenerate level with pairing interactions embedded into a superconducting
bath. The time evolution of the reduced density matrix for the system is given
by Linblad master equation, where the dissipators describe exchange of
Bogoliubov quasiparticles with the bath. We obtain fixed points of the time
evolution equation for the covariance matrix and study their stability by
analyzing full dynamics of the order parameter.Comment: 7 pages, 2 pdf figure